Question

The product of two numbers is $20\frac{5}{7}$ , If one of these numbers is $6\frac{2}{3}$ , find the other.

Answer 1

Step 1: Convert the given statement into mathematical expression
Let the other number of x
Then,
$x\times 6\frac{2}{3}=20\frac{5}{7}$
⇒$x=20\frac{5}{7}÷6\frac{2}{3}$

Step 2: Converting the mixed fractions into improper fractions and finding the value of x
$x=\frac{20\times 7+5}{7}÷\frac{6\times 3+2}{3}$
$=\frac{140+5}{7}÷\frac{18+2}{3}$
$=\frac{145}{7}÷\frac{20}{3}$
$=\frac{145}{7}\times \frac{3}{20}$
$=\frac{87}{28}$

Hence, the other number is $\frac{87}{28}$ or $3\frac{3}{28}$.